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A140915 Number of 6 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,8,n can be permuted, see formula. 0

%I #3 Oct 03 2013 09:33:12

%S 1,3003,2147145,614083470,90474964580,7997986868872,469699956117392,

%T 19702998159210080,623055648083552320,15480536486999030720,

%U 312230512837780450368,5247874388850386800416

%N Number of 6 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,8,n can be permuted, see formula.

%F (empirical) set p,q,r to n,8,6 (in any order) in s=p+q+r-1; a(n) = product {i in 0..r-1} (binomial(s,p+i)*i!/(s-i)^(r-i-1))

%K nonn

%O 0,2

%A _R. H. Hardin_, Jul 05 2008

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Last modified April 19 11:31 EDT 2024. Contains 371792 sequences. (Running on oeis4.)